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106818553 = 3375632
BaseRepresentation
bin1100101110111…
…10101111111001
321102222221111201
412113132233321
5204321143203
614333254201
72434641232
oct627365771
9242887451
10106818553
11553293a6
122b934361
131919025a
1410288089
15959ee1d
hex65debf9

106818553 has 6 divisors (see below), whose sum is σ = 107326154. Its totient is φ = 106312416.

The previous prime is 106818541. The next prime is 106818559. The reversal of 106818553 is 355818601.

It can be written as a sum of positive squares in only one way, i.e., 81144064 + 25674489 = 9008^2 + 5067^2 .

It is not a de Polignac number, because 106818553 - 25 = 106818521 is a prime.

It is a super-2 number, since 2×1068185532 = 22820406530027618, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106818559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 189450 + ... + 190012.

Almost surely, 2106818553 is an apocalyptic number.

It is an amenable number.

106818553 is a deficient number, since it is larger than the sum of its proper divisors (507601).

106818553 is an frugal number, since it uses more digits than its factorization.

106818553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 106818553 is about 10335.3061396361. The cubic root of 106818553 is about 474.4774352907.

The spelling of 106818553 in words is "one hundred six million, eight hundred eighteen thousand, five hundred fifty-three".

Divisors: 1 337 563 189731 316969 106818553